1) cos- 1 2 3) sin-1 V3 5) cos-.

Q: sin 12a iv) lima-0 sin 5a

A: Our objective is to find the limit of the above function.

Q: -p² sin(w) cos?(w) – p cos² (») -p2 sin(4).

A:

Q: sin(2u) cos(2u) sec u c) sin u c u

A: We have to show that sin2usinu-cos2ucosu=secu We have to consider the left hand side of given…

Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

A:

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: sin sin sin sin ¹0+ cos -¹³)-0

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

A:

Q: True or False sin2θ =1- cos2θ.

A: We can prove or disprove trigonometric identities using trigonometric table values of angles . For…

Q: True or False sin(sin-1 0) = 0 and cos(cos-10) = 0.

A: Given:         sin(sin−10)=0  and cos(cos−10)=0

Q: de (sin(0) cos(0)) =

A:

Q: 6(sec? z - tan²I – 6) I- 6) sin z + cos? I sin z 3 O 6 csC I -30 sin z -30CSC I 36 sec I O-30 seC I

A:

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: Find the exact value of each expression. 1) cos-0 V3 3) cos- 5) sin- -1 7) cos-1 1 9) sin- 1 11) cos

A:

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: 5π (b) sec 6 (c) (sin 570⁰ + cos180°)-¹ (d) sec 7π 6 - 1 CSC 4π 3 + COS 5π 6

A: b)sec-5π6-csc4π3sec(-θ)=secθ since you have posted multipart question, i can do first question as…

Q: Is cos (A+b)=cos A + cos(b)? Explain

A:

Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: 4 sin 0 1 – 3 cos 0

A: Using Pythagorean identity we write the equation with sin, then solve for sin theta.

Q: TT -1 Cos 2 sin 2

A:

Q: Find the value of cos (570)sin (510) + sin (- 330)cos (- 390)

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Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

A:

Q: Multily    (a) (a+b)  2 (cos theta - sin theta ) 2

A:

Q: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

A:

Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

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Q: Find an algebraic formula for the piecewise defined function whose graph is shown. The graph…

A: Let's divide the given graph into four parts as shown below:

Q: Angle x lies in the first quadrant such that: cosx=3           5   and angle y lies in the second…

A:

Q: Verify the identity (sin θ + cos θ)2 + (sin θ - cos θ)2 = 2.

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Q: 8) Prove the trigonometric identity. (sin z + cos r)? = 1 + sin (2r)

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Q: sin? 0 – cos? 0 = sin? 0 - (1 - ( = 2 sin? 0 – 1

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Q: 2) Find the value of: sec(tan )+ cos(sin ? 2. CoS

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Q: Solve sin(theta) + 3cos(theta) = 1

A: Given,           sinθ+3cosθ=1

Q: FIX) = sin(x+ cos x) -0.5=0 Find F(X), F(x)

A:

Q: Cos 0–N1+ Sin 20 Tan 0 Sin 0 –/1 + Sin 20 N.

A: Recall: sin (2θ)= 2 sinθ cosθ sinθ cosθ= tanθ cos2θ+sin2θ=1